Cohomology algebra of the orbit space of free circle group actions on lens spaces
| dc.creator | Singh, Hemant Kumar | |
| dc.creator | Singh, Tej Bahadur | |
| dc.date | 2008-06-11 | |
| dc.date.accessioned | 2026-07-07T09:43:56Z | |
| dc.date.available | 2026-07-07T09:43:56Z | |
| dc.description | Suppose that G=S^1 acts freely on a finitistic space X whose mod p cohomology ring isomorphic to that of a lens space L^{2m-1}(p;q_1,...,q_m). In this paper, we determine the mod p cohomology ring of the orbit space X/G. If the characteristic class α\belongs H^2(X/G;Z_p) of the S^1-bundle S--> X--> X/G is nonzero, then mod p ndex of the action is deined to be the largest integer n such that α^n is nonzero. We also show that the mod p index of a free action of S^1 on a lens space L^(2m-1)(p;q_1,...,q_m) is p-1, provided that αis nonzero. | |
| dc.description | 12 Pages | |
| dc.identifier | https://arxiv.org/abs/0806.1814 | |
| dc.identifier | http://arxiv.org/abs/0806.1814 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/162698 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Primary 57S17, Secondary 57S25 | |
| dc.title | Cohomology algebra of the orbit space of free circle group actions on lens spaces | |
| dc.type | text |